Residential College | false |
Status | 已發表Published |
A new method of reachable sets estimation for the nonlinear switched singular system with impulsive performance and time-delay | |
Feng, Zhiguang1,3; Zhang, Xinyue1; Liu, Jason J.R.2; Jiang, Zhengyi3 | |
2024-11-15 | |
Source Publication | Applied Mathematics and Computation |
ISSN | 0096-3003 |
Volume | 481Pages:128929 |
Abstract | This paper addresses the reachable set problem on nonlinear switched singular systems with impulsive performance and time-delay under bounded disturbance. The goal is to provide a real-time bounding set containing all reachable states. Originally, a real-time bounding criterion is developed by analyzing the variation of subinterval piecewise function and combining the definition of the average impulsive interval. Additionally, a lower bound on the Lyapunov function is provided by introducing an inequality scaling technique to avoid acquiring state bounds based on system decomposition techniques. Subsequently, the real-time bounding closed set, including all reachable states of the system, is estimated by calculating the Dini derivative of the Lyapunov function and using the real-time bounding criterion and the integral inequality technique. Finally, several numerical examples are given to illustrate the validity of the results obtained in this study. |
Keyword | Impulsive Performance Reachable Set Real-time Bounding Switched Singular Systems Time-delay |
DOI | 10.1016/j.amc.2024.128929 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:001271987100001 |
Publisher | ELSEVIER SCIENCE INC, STE 800, 230 PARK AVE, NEW YORK, NY 10169 |
Scopus ID | 2-s2.0-85198348347 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF ELECTROMECHANICAL ENGINEERING |
Corresponding Author | Liu, Jason J.R. |
Affiliation | 1.College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, 150001, China 2.The Department of Electromechanical Engineering, Faculty of Science and Technology, University of Macau, Macao 3.School of Mechanical, Materials, Mechatronic and Biomedical Engineering, University of Wollongong, Wollongong, 2522, Australia |
Corresponding Author Affilication | Faculty of Science and Technology |
Recommended Citation GB/T 7714 | Feng, Zhiguang,Zhang, Xinyue,Liu, Jason J.R.,et al. A new method of reachable sets estimation for the nonlinear switched singular system with impulsive performance and time-delay[J]. Applied Mathematics and Computation, 2024, 481, 128929. |
APA | Feng, Zhiguang., Zhang, Xinyue., Liu, Jason J.R.., & Jiang, Zhengyi (2024). A new method of reachable sets estimation for the nonlinear switched singular system with impulsive performance and time-delay. Applied Mathematics and Computation, 481, 128929. |
MLA | Feng, Zhiguang,et al."A new method of reachable sets estimation for the nonlinear switched singular system with impulsive performance and time-delay".Applied Mathematics and Computation 481(2024):128929. |
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